1111100101001 has 8 divisors (see below), whose sum is σ = 1214921524608. Its totient is φ = 1007747398000.

The previous prime is 1111100100953. The next prime is 1111100101003. The reversal of 1111100101001 is 1001010011111.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1111100101001 - 2¹⁸ = 1111099838857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1111100101001.

It is not an unprimeable number, because it can be changed into a prime (1111100101003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117175190 + ... + 117184671.

It is an arithmetic number, because the mean of its divisors is an integer number (151865190576).

Almost surely, 2^{1111100101001} is an apocalyptic number.

1111100101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1111100101001 is a deficient number, since it is larger than the sum of its proper divisors (103821423607).

1111100101001 is a wasteful number, since it uses less digits than its factorization.

1111100101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234360303.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1111100101001 its reverse (1001010011111), we get a palindrome (2112110112112).

It can be divided in two parts, 1111 and 100101001, that multiplied together give a palindrome (111212212111).

The spelling of 1111100101001 in words is "one trillion, one hundred eleven billion, one hundred million, one hundred one thousand, one".